Rabah Bey, Amar Heminna, & Jean-Pierre Loheac
Abstract:
We consider the boundary stabilization of a linear
elastodynamic system, with variables coefficients,
by natural feedback. In [5,7]}, Guesmia proved the
boundary stabilization of the linear elastodynamic system,
with variables coefficients, under restrictive conditions
on the shape of the domain and on the data of the problem.
Here, we propose using local coordinates in the boundary
integrals to obtain stability under conditions that are
only geometrical and less restrictive than those in [5,7].
We also extend the boundary stabilization result
obtained in [2].
Submitted March 19, 2001. Published December 21, 2001.
Math Subject Classifications: 93B03, 93B05, 93D15.
Key Words: elastodynamic system, elasticity, boundary stabilization,
feedback.
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Rabah Bey E.C.L., D.M.I., C.N.R.S. U.M.R. 5585, B.P. 163, 69131 Ecully Cedex, France e-mail: bey@ec-lyon.fr |
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Amar Heminna U.S.T.H.B., Institut de Mathematiques, B.P. 32, El-Alia, 16111 Alger, Algeria e-mail: ahemina@hotmail.com |
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Jean-Pierre Loheac E.C.L., D.M.I., C.N.R.S. U.M.R. 5585, B.P. 163, 69131 Ecully Cedex, France e-mail: loheac@ec-lyon.fr |